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Finding the Third Proportional to 5,478,927,357 and 8,469,995,657.50

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Solution

The third proportional to 5,478,927,357 and 8,469,995,657.50 is: 13,093,954,667.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478,927,357 : 8,469,995,657.50 = 8,469,995,657.50 : x
  2. Step 2: Convert to fraction form
    5,478,927,357/8,469,995,657.50 = 8,469,995,657.50/x
  3. Step 3: Cross multiply
    5,478,927,357x = 8,469,995,657.50 × 8,469,995,657.50
  4. Step 4: Simplify right side
    5,478,927,357x = 71,740,826,438,068,854,784
  5. Step 5: Solve for x
    x = 71,740,826,438,068,854,784/5,478,927,357
  6. Step 6: Final answer
    x = 13,093,954,667.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.